Powerful conveyors are equipped with rubber conveyor belts. They are used in various industries. Tapes are destroyed during operation. One of the forms of destruction is a longitudinal cut of the tape. The purpose of the article is to build an analytical algorithm for determining and studying the stress-strain state of a rubber cable belt with a longitudinal, limited-length cut, taking into account the construction of the belt, the mechanical properties of its components (cables and rubber layers), arbitrary longitudinal violation of its integrity and the arbitrary nature of the interaction of the belt with a drum The algorithm was developed on the basis of the formulation and solution of the model of the interaction of the tape cables. An arbitrarily located partial longitudinal section of any length is taken into account. The arbitrary nature of the interaction of the belt with the conveyor drum is taken into account. It was established that the cut of the tape affects its stress-strain state both in the area with damage and beyond, in particular, it reduces the localization zones of disturbances in the strips against the size of the disturbance zone in the tape. The disturbance zone decreases more in the strip with fewer cables. The total loads of the cables in the strips remain unchanged along their length. The practical significance of the developed algorithm lies in the fact that the use of the indicators of the stress-strain state of the belt with known damage determined with its help makes it possible to make reasonable technical decisions regarding the conditions of safe, temporary use of the conveyor, including the impulse loading of the material, which should be investigated in the future.